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Finding the Third Proportional to 4,868.25 and 10,647.75

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Solution

The third proportional to 4,868.25 and 10,647.75 is: 23,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.25 : 10,647.75 = 10,647.75 : x
  2. Step 2: Convert to fraction form
    4,868.25/10,647.75 = 10,647.75/x
  3. Step 3: Cross multiply
    4,868.25x = 10,647.75 × 10,647.75
  4. Step 4: Simplify right side
    4,868.25x = 113,374,580.06
  5. Step 5: Solve for x
    x = 113,374,580.06/4,868.25
  6. Step 6: Final answer
    x = 23,288.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.